Evaluating a Function at an Expression Worksheet with Answer Key

What's on the worksheet

1. Find and simplify each output for a rule and an expression input.
   f(x) = 5x - 2; find f(x - 3)g(x) = 7 - x; find g(a + 5)h(x) = \dfrac{1}{2}x + 3; find h(4x - 6)k(x) = x^2 - 5; find k(x + 3)m(x) = x^2 + 4x; find m(x - 2)
2. Temperature rule: evaluate the Celsius to Fahrenheit rule at shifted inputs.
3. Evaluate rational and radical functions at expressions and find where there is no value.
4. Test a student's expansion of a quadratic at a shifted input, and correct it.
5. Hannah's vegetable bed: write and use the area function of the width.
6. Show a shifted quadratic simplifies, then use it to find zeros.
7. Find and compare outputs at 3 plus t and 3 minus t, and say what the pattern shows.